Cosmic Velocity - Second to Mach (SI Standard)

The second cosmic velocity (Earth's escape velocity) is approximately 11,200 m/s (11.2 km/s), the minimum speed to escape Earth's gravity completely.

v₂ = √(2GM/r) = √2 × v₁ ≈ 11.2 km/s. Exactly √2 times the first cosmic velocity.

To km/h: × 3,600. To mph: × 25,000. 11.2 km/s = 40,320 km/h = 25,053 mph.

Moon missions, Mars missions, deep space probes (Voyager, New Horizons), and any mission leaving Earth's gravity well.

Apollo missions: ~11.2 km/s. Voyager probes: exceeded v₂ to leave solar system. New Horizons: launched at record 16.26 km/s (fastest ever from Earth).

Thinking you need this speed everywhere — you only need it at launch. In space, much less Δv is needed.

~11 km/s to escape Earth. √2 × orbital velocity. Remember: orbit ≈ 8 km/s, escape ≈ 11 km/s.

Mach (SI standard) uses the speed of sound at 0°C and 1 atm (295.0464 m/s) as the reference, based on SI standard conditions.

Mach (SI) = velocity / 295.0464 m/s. At 0°C, 1 atm: speed of sound ≈ 295 m/s (colder than 20°C).

To m/s (at 0°C): × 295.05. To km/h (at 0°C): × 1,062. To Mach (20°C): × 0.859.

Rarely used in practice. Theoretical aerodynamics at SI conditions, some scientific papers.

Mach 1 (SI) = 295 m/s, while Mach 1 (20°C) = 343.6 m/s. Same Mach number, different actual speeds depending on definition.

Assuming all Mach numbers use the same reference — they don't. Always check temperature and pressure conditions.

Rarely encountered. Mach 1 (SI) = 295 m/s at 0°C. Standard aviation Mach uses different conditions. Know your reference!